Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(-4 + -3\right)\left(-1 + 4\right) + {\left(2 - 5\right)}^{2} $$
Correct Answer
$$ -12$$ or -12.0000

2. Simplify 2

Simplify the following expression: $$ \frac{2\frac{5}{3}}{{\left(\frac{-5}{3}\right)}^{\left(1 + 3\right)}} $$
Correct Answer
$$ \frac{54}{125}$$ or 0.432000

3. Fractions 1

Simplify the following expression: $$ \frac{-5}{6} - \frac{2}{3} $$
Correct Answer
$$ \frac{-3}{2}$$ or -1.5

4. Fractions 2

Simplify the following expression: $$ \frac{-3}{6}\frac{-2}{4} $$
Correct Answer
$$ \frac{1}{4}$$ or 0.25

5. Significant figures

1. Write the following to 5 significant figures: 0.000066993738
Correct Answer
0.000066994 or $$6.6994\times10^{-5}$$
2. Write the following to 5 significant figures: 37.263210
Correct Answer
37.263 or $$3.7263\times10^{1}$$

6. Standard Form

1. Write the following in standard form to 2 significant digits: 0.920901
Correct Answer
$$9.2\times10^{-1}$$
2. Write the following in standard form to 2 significant digits: 0.00194082
Correct Answer
$$1.9\times10^{-3}$$

7. Significant figures

1. Write the following in preferred standard form to 3 significant digits: 4831.3
Correct Answer
$$4.83\times10^{3}$$
2. Write the following in preferred standard form to 4 significant digits: 210.317
Correct Answer
$$210.3\times10^{0}$$

8. Simplify 2

Simplify the following expression: $$ \frac{-5}{2} + 3(-2) - {\left(4 + 1\right)}^{2} $$
Correct Answer
$$ \frac{-67}{2}$$ or -33.5000

9. Simplify 1

Simplify the following expression: $$ \left(2(-2) - 4(-2)\right)2(-5)(-4) $$
Correct Answer
$$ 160$$ or 160.000

10. Simplify 2

Simplify the following expression: $$ 2\frac{-4}{1}{\left(2 + 4\right)}^{\left(-4 - -3\right)} $$
Correct Answer
$$ \frac{-4}{3}$$ or -1.33333


Other Articles:

BodyWorks: EMG Analysis

A page with a javascript application where you can interact with EMG data using various filters.

Moon Formation

A Kotlin N-Body code, and lots of animations of the collision between Earth and a hypothetical Theia that people think created the moon.

Atomistic Simulation of Metals

This presents an interactive simulation of atoms making up a nanoscopic particle of metal.




© Hugo2015. Session @sessionNumber